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1962 AMC 12 Question 16

AMC12 · 1962 AMC 12

Question 16

Given rectangle $R_1$ with one side $2$ inches and area $12$ square inches. Rectangle $R_2$ with diagonal $15$ inches is similar to $R_1.$ Expressed in square inches the area of $R_2$ is:
  1. $\dfrac92$
  2. $36$
  3. $\dfrac{135}{2}$
  4. $9\sqrt{10}$
  5. $\dfrac{27\sqrt{10}}4$